The ‘10 Martini’ Proof Connects Quantum Mechanics With Infinitely Intricate Mathematical Structures

The proof, known to be so hard that a mathematician once offered 10 martinis to whoever could figure it out, uses number ...
CMU News

CMU Math Student Charts a New Path with Rubik’s Cubes

Through a Summer Undergraduate Research Fellowship, Jenny Quan is exploring the mathematical principles behind Rubik's cubes.

Machine learning workflow enables faster, more reliable organic crystal structure prediction

Prediction of crystal structures of organic molecules is a critical task in many industries, especially in pharmaceuticals ...
IEEE

Integrated Path Planning and Localization for an Ocean Exploring Team of Autonomous Underwater Vehicles with Consensus Graph Model Predictive Control

Abstract: Navigation of a team of autonomous underwater vehicles (AUVs) coordinated by an unmanned surface vehicle (USV) is efficient and reliable for deep ocean exploration. AUVs depart from and ...
IEEE

Path-Length Independent Distributed Algorithms for Online RAP with Time-varying Topology: Theory and Application

Abstract: Many online resource allocation algorithms have been recently proposed to handle optimization problems in dynamic scenarios. However, none of these algorithms have been designed to take into ...
The Telegraph

NEET UG 2025: NMC Adds 9075 New MBBS Seats; Check State-Wise Seat Matrix Revision

The updated seat matrix is available on the official NMC website — nmc.org.in. The National Medical Commission (NMC) has released an updated seat matrix for the NEET UG 2025–26 academic session, ...
C&EN

End-to-End Modeling of Reaction Field Energy Using Data-Driven Geometric Graph Neural Networks

Electrostatic interactions are fundamental to the structure, dynamics, and function of biomolecules, with broad applications in protein–ligand binding, enzymatic catalysis, and nucleic acid regulation ...